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Simplifying 5z + -3 + z + 9 = 0 Reorder the terms: -3 + 9 + 5z + z = 0 Combine like terms: -3 + 9 = 6 6 + 5z + z = 0 Combine like terms: 5z + z = 6z 6 + 6z = 0 Solving 6 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6z = 0 + -6 6z = 0 + -6 Combine like terms: 0 + -6 = -6 6z = -6 Divide each side by '6'. z = -1 Simplifying z = -1
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